Phase shifts for π–π scattering are obtained from a model satisfying Mandelstam analyticity, exact crossing symmetry, and approximate unitarity in the range 2mπ ≤ s1/2 ≤ 1.3 GeV. The low energy region is dominated by the ρ, ε, and S* poles; the δ00 phase shift is in good agreement with the data obtained by Protopopescu et al. A detailed comparison is made with the available world's data on π–π scattering.